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96996020 = 225112149269
BaseRepresentation
bin1011100100000…
…00101010110100
320202111220112012
411302000222310
5144312333040
613342543352
72255311142
oct562005264
9222456465
1096996020
114a82a600
1228597b58
13171313c4
14cc4c592
1587ae865
hex5c80ab4

96996020 has 72 divisors (see below), whose sum is σ = 226233000. Its totient is φ = 34904320.

The previous prime is 96996019. The next prime is 96996043. The reversal of 96996020 is 2069969.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2439844 + 94556176 = 1562^2 + 9724^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360446 + ... + 360714.

It is an arithmetic number, because the mean of its divisors is an integer number (3142125).

Almost surely, 296996020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96996020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113116500).

96996020 is an abundant number, since it is smaller than the sum of its proper divisors (129236980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96996020 is a wasteful number, since it uses less digits than its factorization.

96996020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 41.

The square root of 96996020 is about 9848.6557458366. The cubic root of 96996020 is about 459.4638049734.

The spelling of 96996020 in words is "ninety-six million, nine hundred ninety-six thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 149 220 242 269 298 484 538 596 605 745 1076 1210 1345 1490 1639 2420 2690 2959 2980 3278 5380 5918 6556 8195 11836 14795 16390 18029 29590 32549 32780 36058 40081 59180 65098 72116 80162 90145 130196 160324 162745 180290 200405 325490 360580 400810 440891 650980 801620 881782 1763564 2204455 4408910 4849801 8817820 9699602 19399204 24249005 48498010 96996020